Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3Journal of Differential Equations
Editor(s)Bressan, Alberto and Chow, Shui-Nee and Mallet-Paret, John and Ni, Wei-Ming
AbstractWe study the existence, multiplicity and concentration behavior of positive solutions for the nonlinear Kirchhoff type problem where ε>0 is a parameter and a,b>0 are constants; V is a positive continuous potential satisfying some conditions and f is a subcritical nonlinear term. We relate the number of solutions with the topology of the set where V attains its minimum. The results are proved by using the variational methods.
Department(s)Mathematics and Statistics
Keywords and Phrases
- Positive Solutions,
- Kirchoff Type Equation,
- Variational Methods
Document TypeArticle - Journal
Rights© 2012 Elsevier, All rights reserved.
Citation InformationXiaoming He and Winmeng Zou. "Existence and Concentration Behavior of Positive Solutions For a Kirchhoff Equation in R3" Journal of Differential Equations (2012)
Available at: http://works.bepress.com/xiaoming-he/22/